What is the Least Common Multiple of 78933 and 78945?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 78933 and 78945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78933 and 78945, than apply into the LCM equation.

GCF(78933,78945) = 3
LCM(78933,78945) = ( 78933 × 78945) / 3
LCM(78933,78945) = 6231365685 / 3
LCM(78933,78945) = 2077121895

Least Common Multiple (LCM) of 78933 and 78945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78933 and 78945. First we will calculate the prime factors of 78933 and 78945.

Prime Factorization of 78933

Prime Factorization of 78945

Now multiplying the highest exponent prime factors to calculate the LCM of 78933 and 78945.

LCM(78933,78945) = 3¹ × 83¹ × 317¹ × 5¹ × 19¹ × 277¹
LCM(78933,78945) = 2077121895